Differential Equations operators
5 operators in the differential_equations category of the live registry. Compose them in a contract or call POST /api/zeq/compute — KO42 is always on, plus up to three more per call.
How it computes: no dedicated closed form — solveGeneric tries ~16 universal formulas, then integrates the master equation (RK4) and returns a real, deterministic value with a transparent NUMERICAL FALLBACK disclosure.
| Operator | Description | Equation |
|---|---|---|
DCS_AW | Zeq synchronization angular frequency operator at the 1.287 Hz pulse rate. | \Omega_{sync}^{(564)} = 2\pi \cdot 1.287 |
DE_ODE | General first-order ODE initial value problem: standard form for numerical integration. | \frac{dy}{dx} = f(x, y), \quad y(x_0) = y_0 |
DE_PDE | Zeq resonance wavefunction governed by a PDE with HulyaPulse time dependence. | \Psi_{570} = \phi \cdot e^{i\omega_{1.287}t} |
DE_SYS | System of first-order linear ODEs: matrix form for coupled differential equations. | \frac{d\vec{y}}{dt} = A\vec{y} + \vec{b}(t) |
DESO6 | Sixth-order linear ODE with variable coefficients and forcing function. | \frac{d^6y}{dx^6} + \sum_{k=0}^5 a_k \frac{d^ky}{dx^k} = f(x) |
Compute one — a real call
Ask the operator which inputs it needs (the honesty contract refuses empty inputs rather than inventing them):
curl -sS -X POST https://zeqsdk.com/api/zeq/operator-spec \
-H "Content-Type: application/json" \
-d '{"operator":"DCS_AW"}'
See also
- The solvers — the coverage map and the ODE fallback
- The honesty contract — compute, ask, or refuse
- All operator categories